Mathematics (HMC), Mathematics (Pomona)
Mathematical models of tumor-immune interactions provide an analytical framework in which to address specific questions regarding tumor-immune dynamics. We present a brief summary of several approaches we are currently exploring to model tumor growth, tumor-immune interactions, and treatments. Results to date have shown that simulations of tumor growth using different levels of immune stimulating ligands, effector cells, and tumor challenge, are able to reproduce data from published studies. We additionally present some of our current efforts in the investigation of optimal control to aid in determining improved treatment strategies.
© 2006 American Mathematical Society
de Pillis, L. G. and A. E. Radunskaya. "Some Promising Approaches to Tumor-Immune Modeling." Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges, AMS Contemporary Mathematics Series, Vol. 410, 2006, pp. 89-112.